{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Saabas Inconsistencies\n",
    "\n",
    "This demonstrates the inconsistencies of Saabas values using multi-way AND functions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import shap\n",
    "import sklearn\n",
    "from sklearn.model_selection import train_test_split\n",
    "import matplotlib.pyplot as pl\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "import numpy as np\n",
    "import graphviz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multi-way AND function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def multiwayand(display=False, and_size=2, extra_features=0):\n",
    "    M = and_size + extra_features\n",
    "    N = 2**M\n",
    "    \n",
    "    X = np.zeros((N,M))\n",
    "    def rec(X, start, end, depth):\n",
    "        if depth >= X.shape[1]: return\n",
    "        half = (start + end) // 2\n",
    "        X[start:half,depth] = 1\n",
    "        rec(X, start, half, depth + 1)\n",
    "        rec(X, half, end, depth + 1)\n",
    "    rec(X, 0, N, 0)\n",
    "    y = np.zeros(N)\n",
    "    \n",
    "    y[X[:,:and_size].sum(1) == and_size] = 1\n",
    "    \n",
    "    return X, y\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 222,
       "width": 610
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fit model\n",
    "saabas_values_arr = []\n",
    "shap_values_arr = []\n",
    "for i in range(2,11):\n",
    "    X,y = multiwayand(and_size=i, extra_features=10-i)\n",
    "    y[y == 0] = -y.sum()/(y == 0).sum()\n",
    "    model = sklearn.tree.DecisionTreeRegressor(max_depth=i)\n",
    "    model.fit(X, y)\n",
    "    \n",
    "#     print(y.mean())\n",
    "\n",
    "    shap_values = shap.TreeExplainer(model).shap_values(X[0:1,:])\n",
    "    shap_values_arr.append(shap_values)\n",
    "    saabas_values = shap.TreeExplainer(model).shap_values(X[0:1,:], approximate=True)\n",
    "    saabas_values_arr.append(saabas_values)\n",
    "#     print(X[0,:])\n",
    "#     print(shap.TreeExplainer(model).shap_values(X[0:1,:]))\n",
    "#     print(shap.TreeExplainer(model).shap_values(X[0:1,:], approximate=True))\n",
    "\n",
    "f = pl.figure(figsize=(10,3))\n",
    "pl.subplot(1,2,1)\n",
    "for i in range(len(saabas_values_arr)):\n",
    "    pl.plot(\n",
    "        list(range(0,i+2)), sorted(saabas_values_arr[i][0,:i+2]), \".-\",\n",
    "        markersize=12, label=str(i+2)+\" way AND\", linewidth=3,\n",
    "        color=shap.plots.colors.red_blue_solid(i * 1.0/8)\n",
    "    )\n",
    "pl.ylabel(\"Feature attribution value\")\n",
    "pl.xlabel(\"Feature depth in the tree\")\n",
    "#pl.legend()\n",
    "pl.gca().xaxis.set_ticks_position('bottom')\n",
    "pl.gca().yaxis.set_ticks_position('left')\n",
    "pl.gca().spines['right'].set_visible(False)\n",
    "pl.gca().spines['top'].set_visible(False)\n",
    "pl.ylim(0,0.7)\n",
    "pl.title(\"Saabas\")\n",
    "\n",
    "pl.subplot(1,2,2) \n",
    "for i in range(len(shap_values_arr)):\n",
    "    pl.plot(\n",
    "        list(range(0,i+2)), sorted(shap_values_arr[i][0,:i+2]), \".-\",\n",
    "        markersize=12, label=str(i+2)+\" way AND\", linewidth=3,\n",
    "        color=shap.plots.colors.red_blue_solid(i * 1.0/8)\n",
    "    )\n",
    "#pl.ylabel(\"SHAP feature attribution value\")\n",
    "pl.xlabel(\"Feature depth in the tree\")\n",
    "pl.legend()\n",
    "pl.gca().xaxis.set_ticks_position('bottom')\n",
    "pl.gca().yaxis.set_ticks_position('left')\n",
    "pl.gca().spines['right'].set_visible(False)\n",
    "pl.gca().spines['top'].set_visible(False)\n",
    "pl.title(\"Tree SHAP\")\n",
    "pl.ylim(0,0.7)\n",
    "#pl.colorbar()\n",
    "pl.savefig(\"multiway_and.pdf\")\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multi-way OR function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def multiwayor(display=False, or_size=2, extra_features=0):\n",
    "    M = or_size + extra_features\n",
    "    N = 2**M\n",
    "    \n",
    "    X = np.zeros((N,M))\n",
    "    def rec(X, start, end, depth):\n",
    "        if depth >= X.shape[1]: return\n",
    "        half = (start + end) // 2\n",
    "        X[start:half,depth] = 1\n",
    "        rec(X, start, half, depth + 1)\n",
    "        rec(X, half, end, depth + 1)\n",
    "    rec(X, 0, N, 0)\n",
    "    y = np.zeros(N)\n",
    "    y[X[:,:or_size].sum(1) > 0] = 1\n",
    "    return X, y\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 277,
       "width": 610
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fit model\n",
    "saabas_values_arr = []\n",
    "shap_values_arr = []\n",
    "for i in range(2,11):\n",
    "    X,y = multiwayor(or_size=i, extra_features=10-i)\n",
    "    y[y == 0] = -y.sum()/(y == 0).sum()\n",
    "    model = sklearn.tree.DecisionTreeRegressor(max_depth=i)\n",
    "    model.fit(X, y)\n",
    "    \n",
    "#     print(y.mean())\n",
    "\n",
    "    shap_values = shap.TreeExplainer(model).shap_values(X[0:1,:])\n",
    "    shap_values_arr.append(shap_values)\n",
    "    saabas_values = shap.TreeExplainer(model).shap_values(X[0:1,:], approximate=True)\n",
    "    saabas_values_arr.append(saabas_values)\n",
    "#     print(X[0,:])\n",
    "#     print(\"shap\", shap.TreeExplainer(model).shap_values(X[0:1,:]))\n",
    "#     print(\"saabas\", shap.TreeExplainer(model).shap_values(X[0:1,:], approximate=True))\n",
    "\n",
    "f = pl.figure(figsize=(10,4))\n",
    "pl.subplot(1,2,1)\n",
    "for i in range(len(saabas_values_arr)):\n",
    "    pl.plot(\n",
    "        list(range(0,i+2)), -np.array(sorted(-saabas_values_arr[i][0,:i+2])), \".-\",\n",
    "        markersize=8, label=str(i+2)+\" way OR\",\n",
    "        color=shap.plots.colors.red_blue_solid(i * 1.0/8)\n",
    "    )\n",
    "pl.ylabel(\"Feature attribution value\")    \n",
    "pl.xlabel(\"Feature depth in the tree\") \n",
    "#pl.legend()\n",
    "pl.title(\"Saabas\")\n",
    "\n",
    "pl.subplot(1,2,2) \n",
    "for i in range(len(shap_values_arr)):\n",
    "    pl.plot(\n",
    "        list(range(0,i+2)), sorted(shap_values_arr[i][0,:i+2]), \".-\",\n",
    "        markersize=8, label=str(i+2)+\" way OR\",\n",
    "        color=shap.plots.colors.red_blue_solid(i * 1.0/8)\n",
    "    )\n",
    "pl.xlabel(\"Feature depth in the tree\")\n",
    "pl.legend()\n",
    "pl.gca().xaxis.set_ticks_position('bottom')\n",
    "pl.gca().yaxis.set_ticks_position('left')\n",
    "pl.gca().spines['right'].set_visible(False)\n",
    "pl.gca().spines['top'].set_visible(False)\n",
    "pl.title(\"SHAP\")\n",
    "pl.ylim(0,1)\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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